Inverse Variation (VCE SSCE General Mathematics): Quizzes

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Inverse Variation
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In inverse variation, what happens to yy as xx increases?

yy decreases

Which equation represents inverse variation between yy and xx?

y=kxy = \frac{k}{x}

If y=3xy = \frac{3}{x}, what is the constant of variation?

3

If y1xy \propto \frac{1}{x}, what remains constant?

xyxy

3 bricklayers finish a wall in 8 hrs. How long do 6 bricklayers take?

4 hours

What shape is the graph of yy against xx for inverse variation?

Hyperbola

To check inverse variation in a table, verify that what is constant?

The product xyxy

How is 'yy varies inversely as xx' written symbolically?

y1xy \propto \frac{1}{x}

What shape is the graph of yy against 1x\frac{1}{x} for inverse variation?

Straight line

If h1r2h \propto \frac{1}{r^2}, how does hh vary with rr?

Inversely with square of rr

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